Compressed Sensing Magnetic Resonance Image Reconstruction Algorithms by Bhabesh Deka & Sumit Datta

Author:Bhabesh Deka & Sumit Datta
Language: eng
Format: epub
ISBN: 9789811335976
Publisher: Springer Singapore

(3.98)

(3.99)

where . After getting the new search directions, the next iteration for the optimal solution may be defined as:

(3.100)

where . We summarize the iterative CG method in Algorithm 15.

The nonlinear conjugate gradient (NCG) method is the generalized version of the CG method. It is also an iterative optimization algorithm suitable for large-scale sparse data. Lustig et al. in [42] solved the CS-MRI problem in Eq. 2.​5 using the NCG algorithm. In particular, they solve the following nonlinear minimization problem using the iterative CG method:

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